Ordered Algebraic Structures

Ordered Algebraic Structures : Proceedings of the Curacao Conference, sponsored by the Caribbean Mathematics Foundation, June 26-30, 1995

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The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac- tivities by the Caribbean Mathematics Foundation (abbr. CMF), which was the principal sponsor of this conference. CMF was inaugurated in 1988 with a conference on Ordered Algebraic Structures. During the years between these two conferences the field has changed sufficiently, both from my point of view and, I believe, that of my co-organizer, W. Charles Holland, to make one wonder about the label "Ordered Algebraic Structures" itself. We recognized this from the start, and right away this conference carried a subtitle, or, if one prefers, an agenda: we concentrated on the one hand, on traditional themes in the theory of ordered groups, including model-theoretic aspects, and, on the other hand, on matters in which topology (more precisely C(X)-style topology) and category theory would play a prominent role. Plainly, ordered algebra has many faces, and it is becoming increas- ingly difficult to organize an intimate conference, such as the ones encouraged in the series sponsored by CMF, in this area on a broad set of themes. These proceedings reflect, accurately we think, the spirit of the conferees, but it is not a faithful record of the papers presented at the conference.
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Product details

  • Hardback | 332 pages
  • 162.6 x 241.3 x 27.9mm | 771.12g
  • Dordrecht, Netherlands
  • English
  • 1997 ed.
  • IX, 332 p.
  • 0792343778
  • 9780792343776

Table of contents

Preface. A Survey of f-Rings and Some of Their Generalizations; M. Henriksen. Reflections on the Global Dimensions of Rings of Continuous Functions; R.T. Finn. Continuous Ultraproducts; N.L. Alling. Actions on Archimedean Lattice-Ordered Groups with Strong Unit; R.N. Ball, J.N. Hagler. Pointfree Topology and the Spectra of f-Rings; B. Banaschewski. Commutative Singular f-Rings; R.T. Finn, et al. Torsion Classes of Lattice-Ordered Groups with Invariant Radicals; P.F. Conrad, M.R. Darnel. The Automorphism Groups of Hahn Groups; M. Droste, R. Goebel. The Laterally sigma-Complete Reflection of an Archimedean Lattice-Ordered Group; A.W. Hager, J. Martinez. Ax-Kochen-Ershov Principles for Valued and Ordered Vector Spaces; F. Viktor, S. Kuhlmann. Quasi-Normal f-Rings; S. Larson. Rings of Continuous Functions as Real Closed Rings; N. Schwartz. On Universal Words for Automorphism Groups of Linear Orders; L.V. Welch, S.A. Adeleke.
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